Comparison of Waldhausen constructions

Abstract

In previous work, we develop a generalized Waldhausen $S_{\bullet }$-construction whose input is an augmented stable double Segal space and whose output is a unital 2-Segal space. Here, we prove that this construction recovers the previously known $S_{\bullet }$-constructions for exact categories and for stable and exact $(\infty ,1)$-categories, as well as the relative $S_{\bullet }$-construction for exact functors.

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Cited by in corpus (1)

• Culf maps and edgewise subdivision